4 papers
Relationship between misère NIM and two-player GOISHI HIROI
Tomoaki Abuku, Masanori Fukui, Shin-ichi Katayama +1
In combinatorial game theory, there are two famous winning conventions, normal play and misère play. Under normal play convention, the winner is the player who moves last and under…
A complete solution for the partisan chocolate game
Tomoaki Abuku, Hikaru Manabe, Richard J. Nowakowski +2
The class of Poset Take-Away games includes many interesting and difficult games. Playing on an -dimensional positive quadrant (the origin being the bottom of the poset) gives r…
Some extensions of Delete Nim
Tomoaki Abuku, Ko Sakai, Masato Shinoda +1
Nim is a well-known combinatorial game with several variants, e.g., Delete Nim and Variant Delete Nim. In Variant Delete Nim, the player deletes one of the two heaps of stones and…
Multiple Hook Removing Game Whose Starting Position is a Rectangular Young Diagram with the Unimodal Numbering
Tomoaki Abuku, Masato Tada
We introduce a new impartial game, named Multiple Hook Removing Game (MHRG for short). We also determine the -values of some game positions (including the starting pos…